¹₂ of the number of goats that Farmer Albert had was equal to ⁵₇ of the number of goats that Farmer Justin had. When Farmer Albert sold 300 of his goats and Farmer Justin bought another 40, the ratio of the number of goats that Farmer Albert had to the number of goats Farmer Justin had become 5 : 4. What was the total number of goats that the 2 farmers had at first?

	Make p the same (1) x 4 = (3)	Farmer Albert (1)	Farmer Justin (2)	Make p the same (2) x 5 = (4)
Before	40 u	10 u	7 u	35 u
Change	- 1200	- 300	+ 40	+ 200
After	20 p	5 p	4 p	20 p

Make the numerators the same.
1x52x5 Farmer Albert's goats = 5x17x1 Farmer Justin's goats
510 Farmer Albert's goats = 57 Farmer Justin's goats

40 u - 1200 = 35 u + 200
40 u - 35 u = 200 + 1200
5 u = 1400

1 u = 1400 ÷ 5 = 280

Total number of goats that the 2 farmers had
= 10 u + 7 u
= 17 u
= 17 x 280
= 4760

Answer(s): 4760